Free vibrations of circular cylinders with longitudinal, interior partitions

Abstract A method for the analysis of the free vibrations of a circular cylindrical shell with a longitudinal, interior plate is developed. This method is based on the extended Rayleigh-Ritz technique. Separate displacement functions are assumed for the shell and plate. Constraint equations are used to enforce displacement compatibility between the plate and shell. The importance of including the in-plane degrees of freedom of the plate in the analysis is investigated. Studies are made to determine the effects on the system frequencies and modes of rigid and hinged joints between the plate and shell and the location of the plate. In general, the effect of the joint condition and plate location on the frequencies varies for different modes. The fundamental mode of the partitioned shell involves predominantly bending of the plate unless the plate is very thick. The effect of the joint condition on the frequency depends on the character of the mode, although the frequencies are higher when the joint is rigid than when it is hinged. The fundamental frequency increases as the plate is located farther from the center of the shell, but higher frequencies show a less predictable behavior.

[1]  Melvin L. Baron,et al.  Discrete Analysis for the Dynamic Response of Stiffened Shells. , 1971 .

[2]  R N Arnold,et al.  Flexural vibrations of the walls of thin cylindrical shells having freely supported ends , 1949, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[3]  J. L. Sewall,et al.  An experimental and analytical vibration study of elliptical cylindrical shells , 1971 .

[4]  Bernard Budiansky,et al.  Notes on the Lagrangian multiplier method in elastic-stability analysis , 1948 .

[5]  J. P. Raney,et al.  Experimental and analytical study of vibrations of joined shells. , 1967 .

[6]  N. L. Basdekas,et al.  Response of oddly-stiffened circular cylindrical shells , 1971 .

[7]  J. L. Sewall,et al.  An analysis of free vibration of orthogonally stiffened cylindrical shells with stiffeners treated as discrete elements. , 1967 .

[8]  C. L. Morgan,et al.  Continua and Discontinua , 1916 .

[9]  A. Leissa,et al.  Vibration of shells , 1973 .

[10]  Bernard Budiansky,et al.  The Lagrangian Multiplier Method of Finding Upper and Lower Limits to Critical Stresses of Clamped Plates , 1946 .

[11]  Arthur W. Leissa,et al.  Vibration of Plates , 2021, Solid Acoustic Waves and Vibration.

[12]  C. W. Bert,et al.  Dynamics of Composite, Sandwich, and Stiffened Shell-Type Structures , 1969 .

[13]  J. J. Webster,et al.  Free vibrations of rectangular curved panels , 1968 .

[14]  W. Hurty.  Dynamic Analysis of Structural Systems Using Component Modes , 1965 .